{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear Grating\n",
    "\n",
    "This notebook demonstrates how to create a surface with a linear grating phase profile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.optic import Optic\n",
    "import optiland.backend as be\n",
    "from optiland.phase import LinearGratingPhaseProfile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optic = Optic()\n",
    "optic.add_surface(index=0, radius=be.inf, thickness=be.inf)\n",
    "\n",
    "phase_profile = LinearGratingPhaseProfile(period=3.0, order=1, angle=be.pi/2)\n",
    "\n",
    "optic.add_surface(\n",
    "    index=1,\n",
    "    phase_profile=phase_profile,\n",
    "    is_stop=True,\n",
    "    material=\"air\",\n",
    "    thickness=100.0,\n",
    ")\n",
    "optic.add_surface(index=2)\n",
    "\n",
    "optic.add_wavelength(0.55)\n",
    "optic.set_field_type(\"angle\")\n",
    "optic.add_field(0.0)\n",
    "optic.set_aperture(\"EPD\", 25.0)\n",
    "\n",
    "_ = optic.draw(wavelengths=[0.45, 0.55, 0.65])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "optiland (3.13.2)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
